document.write( "Question 166684: x=7/2y+4
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Algebra.Com's Answer #122841 by jim_thompson5910(35256)\"\" \"About 
You can put this solution on YOUR website!
Start with the given system\r
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\n" ); document.write( "\"x=%287%2F2%29y%2B4\"\r
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\n" ); document.write( "\n" ); document.write( "\"2%28%287%2F2%29y%2B4%29-7y=8\" Plug in \"x=%287%2F2%29y%2B4\" into the first equation. In other words, replace each \"x\" with \"7%2F2y%2B4\". Notice we've eliminated the \"x\" variables. So we now have a simple equation with one unknown.\r
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\n" ); document.write( "\n" ); document.write( "\"2%28%287%2F2%29y%29%2B2%284%29-7y=8\" Distribute\r
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\n" ); document.write( "\n" ); document.write( "\"7y%2B8-7y=8\" Multiply\r
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\n" ); document.write( "\n" ); document.write( "\"0y%2B8=8\" Combine like terms on the left side.\r
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\n" ); document.write( "\n" ); document.write( "\"0y=8-8\" Subtract \"8\" from both sides.\r
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\n" ); document.write( "\n" ); document.write( "\"0y=0\" Combine like terms on the right side.\r
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\n" ); document.write( "\n" ); document.write( "\"0=0\" Simplify.\r
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\n" ); document.write( "\n" ); document.write( "Since this equation is always true for any y value, this means y can equal any number. So there are an infinite number of solutions.\r
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